Ejemplo n.º 1
0
SeedValue seed_mpfr_floor (SeedContext ctx,
                           SeedObject function,
                           SeedObject this_object,
                           gsize argument_count,
                           const SeedValue args[],
                           SeedException * exception)
{
    mpfr_ptr rop, op;
    gint ret;

    CHECK_ARG_COUNT("mpfr.floor", 1);

    rop = seed_object_get_private(this_object);

    if ( seed_value_is_object_of_class(ctx, args[0], mpfr_class) )
    {
        op = seed_object_get_private(args[0]);
    }
    else
    {
        TYPE_EXCEPTION("mpfr.floor", "mpfr_t");
    }

    ret = mpfr_floor(rop, op);

    return seed_value_from_int(ctx, ret, exception);
}
Ejemplo n.º 2
0
static int synge_int_rand(synge_t to, synge_t number, mpfr_rnd_t round) {
	/* round input */
	mpfr_floor(number, number);

	/* get random number */
	synge_rand(to, number, round);

	/* round output */
	mpfr_round(to, to);
	return 0;
} /* synge_int_rand() */
Ejemplo n.º 3
0
static int synge_sum(synge_t to, synge_t number, mpfr_rnd_t round) {
	/* round input */
	mpfr_floor(number, number);

	/* (x * (x + 1)) / 2 */
	mpfr_set(to, number, round);
	mpfr_add_si(number, number, 1, round);
	mpfr_mul(to, to, number, round);
	mpfr_div_si(to, to, 2, round);
	return 0;
} /* synge_sum() */
Ejemplo n.º 4
0
decimal r_floor(const decimal& a)
{
#ifdef USE_CGAL
	CGAL::Gmpfr m;
	CGAL::Gmpfr n=to_gmpfr(a);
	mpfr_floor(m.fr(),n.fr());
	return decimal(m);
#else
	return floor(a);
#endif
}
Ejemplo n.º 5
0
//------------------------------------------------------------------------------
// Name:
//------------------------------------------------------------------------------
knumber_base *knumber_float::floor() {
#ifdef KNUMBER_USE_MPFR
	mpfr_t mpfr;
	mpfr_init_set_f(mpfr, mpf_, rounding_mode);
	mpfr_floor(mpfr, mpfr);
	mpfr_get_f(mpf_, mpfr, rounding_mode);
	mpfr_clear(mpfr);
	return this;
#else
	const double x = mpf_get_d(mpf_);
	if(isinf(x)) {
		delete this;
		return new knumber_error(knumber_error::ERROR_POS_INFINITY);
	} else {
		return execute_libc_func< ::floor>(x);
	}
#endif
}
Ejemplo n.º 6
0
static int synge_factorial(synge_t to, synge_t num, mpfr_rnd_t round) {
	/* round input */
	synge_t number;
	mpfr_init2(number, SYNGE_PRECISION);
	mpfr_abs(number, num, round);
	mpfr_floor(number, number);

	/* multilply original number by reverse iterator */
	mpfr_set_si(to, 1, round);
	while(!iszero(number)) {
		mpfr_mul(to, to, number, round);
		mpfr_sub_si(number, number, 1, round);
	}

	mpfr_copysign(to, to, num, round);
	mpfr_clears(number, NULL);
	return 0;
} /* synge_factorial() */
Ejemplo n.º 7
0
/**
 * rasqal_xsd_decimal_floor:
 * @result: result variable
 * @a: argment decimal
 * 
 * Return the number with no fractional part closes to argument for an XSD Decimal
 *
 * Return value: non-0 on failure
 **/
int
rasqal_xsd_decimal_floor(rasqal_xsd_decimal* result, rasqal_xsd_decimal* a)
{
  int rc = 0;
  
  rasqal_xsd_decimal_clear_string(result);
  
#if defined(RASQAL_DECIMAL_C99) || defined(RASQAL_DECIMAL_NONE)
  result->raw = floor(a->raw);
#endif
#ifdef RASQAL_DECIMAL_MPFR
  mpfr_floor(result->raw, a->raw);
#endif
#ifdef RASQAL_DECIMAL_GMP
  mpf_floor(result->raw, a->raw);
#endif

  return rc;
}
Ejemplo n.º 8
0
int
mpfr_rint_floor (mpfr_ptr r, mpfr_srcptr u, mpfr_rnd_t rnd_mode)
{
  if (MPFR_UNLIKELY( MPFR_IS_SINGULAR(u) ) || mpfr_integer_p (u))
    return mpfr_set (r, u, rnd_mode);
  else
    {
      mpfr_t tmp;
      int inex;
      unsigned int saved_flags = __gmpfr_flags;
      MPFR_BLOCK_DECL (flags);

      mpfr_init2 (tmp, MPFR_PREC (u));
      /* floor(u) is representable in tmp unless an overflow occurs */
      MPFR_BLOCK (flags, mpfr_floor (tmp, u));
      __gmpfr_flags = saved_flags;
      inex = (MPFR_OVERFLOW (flags)
              ? mpfr_overflow (r, rnd_mode, MPFR_SIGN_NEG)
              : mpfr_set (r, tmp, rnd_mode));
      mpfr_clear (tmp);
      return inex;
    }
}
Ejemplo n.º 9
0
int
mpfr_rint_floor (mpfr_ptr r, mpfr_srcptr u, mpfr_rnd_t rnd_mode)
{
  if (MPFR_UNLIKELY( MPFR_IS_SINGULAR(u) ) || mpfr_integer_p (u))
    return mpfr_set (r, u, rnd_mode);
  else
    {
      mpfr_t tmp;
      int inex;
      MPFR_SAVE_EXPO_DECL (expo);
      MPFR_BLOCK_DECL (flags);

      MPFR_SAVE_EXPO_MARK (expo);
      mpfr_init2 (tmp, MPFR_PREC (u));
      /* floor(u) is representable in tmp unless an overflow occurs */
      MPFR_BLOCK (flags, mpfr_floor (tmp, u));
      inex = (MPFR_OVERFLOW (flags)
              ? mpfr_overflow (r, rnd_mode, MPFR_SIGN_NEG)
              : mpfr_set (r, tmp, rnd_mode));
      mpfr_clear (tmp);
      MPFR_SAVE_EXPO_FREE (expo);
      return mpfr_check_range (r, inex, rnd_mode);
    }
}
Ejemplo n.º 10
0
Archivo: ttrunc.c Proyecto: Kirija/XPIR
int
main (void)
{
  int j, k;
  mpfr_t x, y, z, t, y2, z2, t2;

  tests_start_mpfr ();

  mpfr_inits2 (SIZEX, x, y, z, t, y2, z2, t2, (mpfr_ptr) 0);

  mpfr_set_str1 (x, "0.5");
  mpfr_ceil(y, x);
  if (mpfr_cmp_ui (y, 1))
    {
      printf ("Error in mpfr_ceil for x=0.5: expected 1.0, got ");
      mpfr_print_binary(y);
      putchar('\n');
      exit (1);
    }

  mpfr_set_ui (x, 0, MPFR_RNDN);
  mpfr_ceil(y, x);
  if (mpfr_cmp_ui(y,0))
    {
      printf ("Error in mpfr_ceil for x=0.0: expected 0.0, got ");
      mpfr_print_binary(y);
      putchar('\n');
      exit (1);
    }

  mpfr_set_ui (x, 1, MPFR_RNDN);
  mpfr_ceil(y, x);
  if (mpfr_cmp_ui(y,1))
    {
      printf ("Error in mpfr_ceil for x=1.0: expected 1.0, got ");
      mpfr_print_binary(y);
      putchar('\n');
      exit (1);
    }

  for (j=0;j<1000;j++)
    {
      mpfr_urandomb (x, RANDS);
      MPFR_EXP (x) = 2;

      for (k = 2; k <= SIZEX; k++)
        {
          mpfr_set_prec(y, k);
          mpfr_set_prec(y2, k);
          mpfr_set_prec(z, k);
          mpfr_set_prec(z2, k);
          mpfr_set_prec(t, k);
          mpfr_set_prec(t2, k);

          mpfr_floor(y, x);
          mpfr_set(y2, x, MPFR_RNDD);

          mpfr_trunc(z, x);
          mpfr_set(z2, x, MPFR_RNDZ);

          mpfr_ceil(t, x);
          mpfr_set(t2, x, MPFR_RNDU);

          if (!mpfr_eq(y, y2, k))
            {
              printf("Error in floor, x = "); mpfr_print_binary(x);
              printf("\n");
              printf("floor(x) = "); mpfr_print_binary(y);
              printf("\n");
              printf("round(x, RNDD) = "); mpfr_print_binary(y2);
              printf("\n");
              exit(1);
            }

          if (!mpfr_eq(z, z2, k))
            {
              printf("Error in trunc, x = "); mpfr_print_binary(x);
              printf("\n");
              printf("trunc(x) = "); mpfr_print_binary(z);
              printf("\n");
              printf("round(x, RNDZ) = "); mpfr_print_binary(z2);
              printf("\n");
              exit(1);
            }

          if (!mpfr_eq(y, y2, k))
            {
              printf("Error in ceil, x = "); mpfr_print_binary(x);
              printf("\n");
              printf("ceil(x) = "); mpfr_print_binary(t);
              printf("\n");
              printf("round(x, RNDU) = "); mpfr_print_binary(t2);
              printf("\n");
              exit(1);
            }
          MPFR_EXP(x)++;
        }
    }

  mpfr_clears (x, y, z, t, y2, z2, t2, (mpfr_ptr) 0);

  tests_end_mpfr ();
  return 0;
}
Ejemplo n.º 11
0
int main()
{
    slong i;

    mpfr_t tabx, expx, y1, y2;
    mpz_t tt;

    flint_printf("exp_tab....");
    fflush(stdout);

    {
        slong prec, bits, num;

        prec = ARB_EXP_TAB1_LIMBS * FLINT_BITS;
        bits = ARB_EXP_TAB1_BITS;
        num = ARB_EXP_TAB1_NUM;

        mpfr_init2(tabx, prec);
        mpfr_init2(expx, prec);
        mpfr_init2(y1, prec);
        mpfr_init2(y2, prec);

        for (i = 0; i < num; i++)
        {
            tt->_mp_d = (mp_ptr) arb_exp_tab1[i];
            tt->_mp_size = prec / FLINT_BITS;
            tt->_mp_alloc = tt->_mp_size;

            while (tt->_mp_size > 0 && tt->_mp_d[tt->_mp_size-1] == 0)
                tt->_mp_size--;

            mpfr_set_z(tabx, tt, MPFR_RNDD);
            mpfr_div_2ui(tabx, tabx, prec, MPFR_RNDD);

            mpfr_set_ui(expx, i, MPFR_RNDD);
            mpfr_div_2ui(expx, expx, bits, MPFR_RNDD);
            mpfr_exp(expx, expx, MPFR_RNDD);

            mpfr_mul_2ui(y1, tabx, prec, MPFR_RNDD);
            mpfr_floor(y1, y1);
            mpfr_div_2ui(y1, y1, prec, MPFR_RNDD);

            mpfr_mul_2ui(y2, expx, prec - 1, MPFR_RNDD);
            mpfr_floor(y2, y2);
            mpfr_div_2ui(y2, y2, prec, MPFR_RNDD);

            if (!mpfr_equal_p(y1, y2))
            {
                flint_printf("FAIL: i = %wd, bits = %wd, prec = %wd\n", i, bits, prec);
                mpfr_printf("y1 = %.1500Rg\n", y1);
                mpfr_printf("y2 = %.1500Rg\n", y2);
                abort();
            }
        }

        mpfr_clear(tabx);
        mpfr_clear(expx);
        mpfr_clear(y1);
        mpfr_clear(y2);
    }

    {
        slong prec, bits, num;

        prec = ARB_EXP_TAB2_LIMBS * FLINT_BITS;
        bits = ARB_EXP_TAB21_BITS;
        num = ARB_EXP_TAB21_NUM;

        mpfr_init2(tabx, prec);
        mpfr_init2(expx, prec);
        mpfr_init2(y1, prec);
        mpfr_init2(y2, prec);

        for (i = 0; i < num; i++)
        {
            tt->_mp_d = (mp_ptr) arb_exp_tab21[i];
            tt->_mp_size = prec / FLINT_BITS;
            tt->_mp_alloc = tt->_mp_size;

            while (tt->_mp_size > 0 && tt->_mp_d[tt->_mp_size-1] == 0)
                tt->_mp_size--;

            mpfr_set_z(tabx, tt, MPFR_RNDD);
            mpfr_div_2ui(tabx, tabx, prec, MPFR_RNDD);

            mpfr_set_ui(expx, i, MPFR_RNDD);
            mpfr_div_2ui(expx, expx, bits, MPFR_RNDD);
            mpfr_exp(expx, expx, MPFR_RNDD);

            mpfr_mul_2ui(y1, tabx, prec, MPFR_RNDD);
            mpfr_floor(y1, y1);
            mpfr_div_2ui(y1, y1, prec, MPFR_RNDD);

            mpfr_mul_2ui(y2, expx, prec - 1, MPFR_RNDD);
            mpfr_floor(y2, y2);
            mpfr_div_2ui(y2, y2, prec, MPFR_RNDD);

            if (!mpfr_equal_p(y1, y2))
            {
                flint_printf("FAIL: i = %wd, bits = %wd, prec = %wd\n", i, bits, prec);
                mpfr_printf("y1 = %.1500Rg\n", y1);
                mpfr_printf("y2 = %.1500Rg\n", y2);
                abort();
            }
        }

        mpfr_clear(tabx);
        mpfr_clear(expx);
        mpfr_clear(y1);
        mpfr_clear(y2);
    }

    {
        slong prec, bits, num;

        prec = ARB_EXP_TAB2_LIMBS * FLINT_BITS;
        bits = ARB_EXP_TAB21_BITS + ARB_EXP_TAB22_BITS;
        num = ARB_EXP_TAB22_NUM;

        mpfr_init2(tabx, prec);
        mpfr_init2(expx, prec);
        mpfr_init2(y1, prec);
        mpfr_init2(y2, prec);

        for (i = 0; i < num; i++)
        {
            tt->_mp_d = (mp_ptr) arb_exp_tab22[i];
            tt->_mp_size = prec / FLINT_BITS;
            tt->_mp_alloc = tt->_mp_size;

            while (tt->_mp_size > 0 && tt->_mp_d[tt->_mp_size-1] == 0)
                tt->_mp_size--;

            mpfr_set_z(tabx, tt, MPFR_RNDD);
            mpfr_div_2ui(tabx, tabx, prec, MPFR_RNDD);

            mpfr_set_ui(expx, i, MPFR_RNDD);
            mpfr_div_2ui(expx, expx, bits, MPFR_RNDD);
            mpfr_exp(expx, expx, MPFR_RNDD);

            mpfr_mul_2ui(y1, tabx, prec, MPFR_RNDD);
            mpfr_floor(y1, y1);
            mpfr_div_2ui(y1, y1, prec, MPFR_RNDD);

            mpfr_mul_2ui(y2, expx, prec - 1, MPFR_RNDD);
            mpfr_floor(y2, y2);
            mpfr_div_2ui(y2, y2, prec, MPFR_RNDD);

            if (!mpfr_equal_p(y1, y2))
            {
                flint_printf("FAIL: i = %wd, bits = %wd, prec = %wd\n", i, bits, prec);
                mpfr_printf("y1 = %.1500Rg\n", y1);
                mpfr_printf("y2 = %.1500Rg\n", y2);
                abort();
            }
        }

        mpfr_clear(tabx);
        mpfr_clear(expx);
        mpfr_clear(y1);
        mpfr_clear(y2);
    }

    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Ejemplo n.º 12
0
static PyObject *
GMPy_Real_FloorDiv(PyObject *x, PyObject *y, CTXT_Object *context)
{
    MPFR_Object *result;

    CHECK_CONTEXT(context);

    if (!(result = GMPy_MPFR_New(0, context))) {
        /* LCOV_EXCL_START */
        return NULL;
        /* LCOV_EXCL_STOP */
    }

    if (MPFR_Check(x)) {
        if (MPFR_Check(y)) {
            mpfr_clear_flags();

            result->rc = mpfr_div(result->f, MPFR(x), MPFR(y), GET_MPFR_ROUND(context));
            result->rc = mpfr_floor(result->f, result->f);
            goto done;
        }

        if (PyIntOrLong_Check(y)) {
            int error;
            long tempi = GMPy_Integer_AsLongAndError(y, &error);

            if (!error) {
                mpfr_clear_flags();

                result->rc = mpfr_div_si(result->f, MPFR(x), tempi, GET_MPFR_ROUND(context));
                result->rc = mpfr_floor(result->f, result->f);
                goto done;
            }
            else {
                mpz_set_PyIntOrLong(global.tempz, y);
                mpfr_clear_flags();

                result->rc = mpfr_div_z(result->f, MPFR(x), global.tempz, GET_MPFR_ROUND(context));
                result->rc = mpfr_floor(result->f, result->f);
                goto done;
            }
        }

        if (CHECK_MPZANY(y)) {
            mpfr_clear_flags();

            result->rc = mpfr_div_z(result->f, MPFR(x), MPZ(y), GET_MPFR_ROUND(context));
            result->rc = mpfr_floor(result->f, result->f);
            goto done;
        }

        if (IS_RATIONAL(y)) {
            MPQ_Object *tempy;

            if (!(tempy = GMPy_MPQ_From_Number(y, context))) {
                Py_DECREF((PyObject*)result);
                return NULL;
            }
            mpfr_clear_flags();

            result->rc = mpfr_div_q(result->f, MPFR(x), tempy->q, GET_MPFR_ROUND(context));
            result->rc = mpfr_floor(result->f, result->f);
            Py_DECREF((PyObject*)tempy);
            goto done;
        }

        if (PyFloat_Check(y)) {
            mpfr_clear_flags();

            result->rc = mpfr_div_d(result->f, MPFR(x), PyFloat_AS_DOUBLE(y), GET_MPFR_ROUND(context));
            result->rc = mpfr_floor(result->f, result->f);
            goto done;
        }
    }

    if (MPFR_Check(y)) {
        if (PyIntOrLong_Check(x)) {
            int error;
            long tempi = GMPy_Integer_AsLongAndError(x, &error);
            if (!error) {
                mpfr_clear_flags();

                result->rc = mpfr_si_div(result->f, tempi, MPFR(y), GET_MPFR_ROUND(context));
                result->rc = mpfr_floor(result->f, result->f);
                goto done;
            }
        }

        /* Since mpfr_z_div does not exist, this combination is handled at the
         * end by converting x to an mpfr. Ditto for rational.*/

        if (PyFloat_Check(x)) {
            mpfr_clear_flags();

            result->rc = mpfr_d_div(result->f, PyFloat_AS_DOUBLE(x), MPFR(y), GET_MPFR_ROUND(context));
            result->rc = mpfr_floor(result->f, result->f);
            goto done;
        }
    }

    /* Handle the remaining cases.
     * Note: verify that MPZ if converted at full precision! */

    if (IS_REAL(x) && IS_REAL(y)) {
        MPFR_Object *tempx, *tempy;

        tempx = GMPy_MPFR_From_Real(x, 1, context);
        tempy = GMPy_MPFR_From_Real(y, 1, context);
        if (!tempx || !tempy) {
            Py_XDECREF((PyObject*)tempx);
            Py_XDECREF((PyObject*)tempy);
            Py_DECREF((PyObject*)result);
            return NULL;
        }
        mpfr_clear_flags();

        result->rc = mpfr_div(result->f, MPFR(tempx), MPFR(tempy), GET_MPFR_ROUND(context));
        result->rc = mpfr_floor(result->f, result->f);
        Py_DECREF((PyObject*)tempx);
        Py_DECREF((PyObject*)tempy);
        goto done;
    }

    Py_DECREF((PyObject*)result);
    Py_RETURN_NOTIMPLEMENTED;

  done:
    _GMPy_MPFR_Cleanup(&result, context);
    return (PyObject*)result;
}
Ejemplo n.º 13
0
APLVFP PrimFnMonDownStileVisV
    (APLVFP     aplVfpRht,
     LPPRIMSPEC lpPrimSpec)

{
    APLVFP mpfRes   = {0},
           mpfFloor = {0},
           mpfCeil  = {0},
           mpfTmp1  = {0},
           mpfTmp2  = {0},
           mpfNear  = {0};

    // Check for PoM infinity
    if (IsMpfInfinity (&aplVfpRht))
        // Copy to the result
        mpfr_init_copy (&mpfRes, &aplVfpRht);
    else
    {
#ifdef DEBUG
////    WCHAR wszTemp[512];
#endif
        // Initialize the temps
        mpfr_init0 (&mpfRes);
        mpfr_init0 (&mpfFloor);
        mpfr_init0 (&mpfCeil );
        mpfr_init0 (&mpfTmp1);
        mpfr_init0 (&mpfTmp2);
        mpfr_init0 (&mpfNear);

        // Get the exact floor and ceiling
        mpfr_floor (&mpfFloor, &aplVfpRht);
        mpfr_ceil  (&mpfCeil , &aplVfpRht);

        // Calculate the integer nearest the right arg

        mpfr_sub (&mpfTmp1, &aplVfpRht, &mpfFloor, MPFR_RNDN);
        mpfr_sub (&mpfTmp2, &mpfCeil  , &aplVfpRht, MPFR_RNDN);

        // Split cases based upon the signum of the difference between
        //   (the number and its floor) and (the ceiling and the number)
        switch (signumint (mpfr_cmp (&mpfTmp1, &mpfTmp2)))
        {
            case  1:
                mpfr_set (&mpfNear, &mpfCeil, MPFR_RNDN);

                break;

            case  0:
                mpfr_abs (&mpfTmp1, &mpfFloor, MPFR_RNDN);
                mpfr_abs (&mpfTmp2, &mpfFloor, MPFR_RNDN);

                // They are equal, so use the one with the larger absolute value
                mpfr_set (&mpfNear,
                           ((mpfr_cmp (&mpfTmp1, &mpfTmp2) > 0) ? &mpfFloor
                                                                : &mpfCeil),
                           MPFR_RNDN);
                break;

            case -1:
                mpfr_set (&mpfNear, &mpfFloor, MPFR_RNDN);

                break;

            defstop
                break;
        } // End SWITCH

#ifdef DEBUG
////    strcpyW (wszTemp, L"Floor: "); *FormatAplVfp (&wszTemp[lstrlenW (wszTemp)], mpfFloor, 0) = WC_EOS; DbgMsgW (wszTemp);
////    strcpyW (wszTemp, L"Near:  "); *FormatAplVfp (&wszTemp[lstrlenW (wszTemp)], mpfNear , 0) = WC_EOS; DbgMsgW (wszTemp);
////    strcpyW (wszTemp, L"Ceil:  "); *FormatAplVfp (&wszTemp[lstrlenW (wszTemp)], mpfCeil , 0) = WC_EOS; DbgMsgW (wszTemp);
#endif

        // If Near is < Rht, return Near
        if (mpfr_cmp (&mpfNear, &aplVfpRht) < 0)
            mpfr_set (&mpfRes, &mpfNear, MPFR_RNDN);
        else
        {
            // If Near is non-zero, and
            //   Rht is tolerantly-equal to Near,
            //   return Near; otherwise, return Near - 1
            if (mpfr_sgn (&mpfNear) NE 0)
            {
                mpfr_set (&mpfRes, &mpfNear, MPFR_RNDN);

                if (!PrimFnDydEqualBisVvV (aplVfpRht,
                                           mpfNear,
                                           NULL))
                    mpfr_sub_ui (&mpfRes, &mpfRes, 1, MPFR_RNDN);
            } else
            {
                // aplNear is zero

                // Get -[]CT as a VFP
                mpfr_set_d (&mpfTmp1, -GetQuadCT (), MPFR_RNDN);

                // If Rht is between (-[]CT) and 0 (inclusive),
                //   return 0; otherwise, return -1
                if (mpfr_cmp (&mpfTmp1, &aplVfpRht) <= 0
                 && mpfr_sgn (&aplVfpRht)           <= 0)
                    mpfr_set_si (&mpfRes,  0, MPFR_RNDN);
                else
                    mpfr_set_si (&mpfRes, -1, MPFR_RNDN);
            } // End IF/ELSE
        } // End IF/ELSE

        // We no longer need this storage
        Myf_clear (&mpfNear);
        Myf_clear (&mpfTmp2);
        Myf_clear (&mpfTmp1);
        Myf_clear (&mpfCeil);
        Myf_clear (&mpfFloor);
    } // End IF/ELSE

    return mpfRes;
} // End PrimFnMonDownStileVisV
Ejemplo n.º 14
0
/* (y, z) <- (sin(x), cos(x)), return value is 0 iff both results are exact */
int 
mpfr_sin_cos (mpfr_ptr y, mpfr_ptr z, mpfr_srcptr x, mp_rnd_t rnd_mode) 
{
  int prec, m, ok, e, inexact, neg;
  mpfr_t c, k;

  if (MPFR_IS_NAN(x) || MPFR_IS_INF(x))
    {
      MPFR_SET_NAN(y);
      MPFR_SET_NAN(z);
      MPFR_RET_NAN;
    }

  if (MPFR_IS_ZERO(x))
    {
      MPFR_CLEAR_FLAGS(y);
      MPFR_SET_ZERO(y);
      MPFR_SET_SAME_SIGN(y, x);
      mpfr_set_ui (z, 1, GMP_RNDN);
      MPFR_RET(0);
    }

  prec = MAX(MPFR_PREC(y), MPFR_PREC(z));
  m = prec + _mpfr_ceil_log2 ((double) prec) + ABS(MPFR_EXP(x)) + 13;

  mpfr_init2 (c, m);
  mpfr_init2 (k, m);

  /* first determine sign */
  mpfr_const_pi (c, GMP_RNDN);
  mpfr_mul_2ui (c, c, 1, GMP_RNDN); /* 2*Pi */
  mpfr_div (k, x, c, GMP_RNDN);      /* x/(2*Pi) */
  mpfr_floor (k, k);                 /* floor(x/(2*Pi)) */
  mpfr_mul (c, k, c, GMP_RNDN);
  mpfr_sub (k, x, c, GMP_RNDN);      /* 0 <= k < 2*Pi */
  mpfr_const_pi (c, GMP_RNDN); /* cached */
  neg = mpfr_cmp (k, c) > 0;
  mpfr_clear (k);

  do
    {
      mpfr_cos (c, x, GMP_RNDZ);
      if ((ok = mpfr_can_round (c, m, GMP_RNDZ, rnd_mode, MPFR_PREC(z))))
        {
          inexact = mpfr_set (z, c, rnd_mode);
          mpfr_mul (c, c, c, GMP_RNDU);
          mpfr_ui_sub (c, 1, c, GMP_RNDN);
          e = 2 + (-MPFR_EXP(c)) / 2;
          mpfr_sqrt (c, c, GMP_RNDN);
          if (neg)
            mpfr_neg (c, c, GMP_RNDN);

          /* the absolute error on c is at most 2^(e-m) = 2^(EXP(c)-err) */
          e = MPFR_EXP(c) + m - e;
          ok = (e >= 0) && mpfr_can_round (c, e, GMP_RNDN, rnd_mode,
                                           MPFR_PREC(y));
        }

      if (ok == 0)
	{
	  m += _mpfr_ceil_log2 ((double) m);
	  mpfr_set_prec (c, m);
	}
    }
  while (ok == 0);

  inexact = mpfr_set (y, c, rnd_mode) || inexact;

  mpfr_clear (c);

  return inexact; /* inexact */
}
Ejemplo n.º 15
0
int
main (void)
{
  mp_size_t s;
  mpz_t z;
  mp_prec_t p;
  mpfr_t x, y, t;
  mp_rnd_t r;
  int inexact, sign_t;

  mpfr_init (x);
  mpfr_init (y);
  mpz_init (z);
  mpfr_init (t);
  mpz_set_ui (z, 1);
  for (s = 2; s < 100; s++)
    {
      /* z has exactly s bits */
      
      mpz_mul_2exp (z, z, 1);
      if (LONG_RAND () % 2)
        mpz_add_ui (z, z, 1);
      mpfr_set_prec (x, s);
      mpfr_set_prec (t, s);
      if (mpfr_set_z (x, z, GMP_RNDN))
        {
          fprintf (stderr, "Error: mpfr_set_z should be exact (s = %u)\n",
                   (unsigned int) s);
          exit (1);
        }
      for (p=2; p<100; p++)
        {
          mpfr_set_prec (y, p);
          for (r=0; r<4; r++)
            {
              if (r == GMP_RNDN)
                inexact = mpfr_round (y, x);
              else if (r == GMP_RNDZ)
                inexact = mpfr_trunc (y, x);
              else if (r == GMP_RNDU)
                inexact = mpfr_ceil (y, x);
              else /* r = GMP_RNDD */
                inexact = mpfr_floor (y, x);
              if (mpfr_sub (t, y, x, GMP_RNDN))
                {
                  fprintf (stderr, "Error: subtraction should be exact\n");
                  exit (1);
                }
              sign_t = mpfr_cmp_ui (t, 0);
              if (((inexact == 0) && (sign_t != 0)) ||
                  ((inexact < 0) && (sign_t >= 0)) ||
                  ((inexact > 0) && (sign_t <= 0)))
                {
                  fprintf (stderr, "Wrong inexact flag\n");
                  exit (1);
                }
            }
        }
    }
  mpfr_clear (x);
  mpfr_clear (y);
  mpz_clear (z);
  mpfr_clear (t);

  return 0;
}
Ejemplo n.º 16
0
Archivo: trint.c Proyecto: epowers/mpfr
int
main (int argc, char *argv[])
{
  mp_size_t s;
  mpz_t z;
  mpfr_prec_t p;
  mpfr_t x, y, t, u, v;
  int r;
  int inexact, sign_t;

  tests_start_mpfr ();

  mpfr_init (x);
  mpfr_init (y);
  mpz_init (z);
  mpfr_init (t);
  mpfr_init (u);
  mpfr_init (v);
  mpz_set_ui (z, 1);
  for (s = 2; s < 100; s++)
    {
      /* z has exactly s bits */

      mpz_mul_2exp (z, z, 1);
      if (randlimb () % 2)
        mpz_add_ui (z, z, 1);
      mpfr_set_prec (x, s);
      mpfr_set_prec (t, s);
      mpfr_set_prec (u, s);
      if (mpfr_set_z (x, z, MPFR_RNDN))
        {
          printf ("Error: mpfr_set_z should be exact (s = %u)\n",
                  (unsigned int) s);
          exit (1);
        }
      if (randlimb () % 2)
        mpfr_neg (x, x, MPFR_RNDN);
      if (randlimb () % 2)
        mpfr_div_2ui (x, x, randlimb () % s, MPFR_RNDN);
      for (p = 2; p < 100; p++)
        {
          int trint;
          mpfr_set_prec (y, p);
          mpfr_set_prec (v, p);
          for (r = 0; r < MPFR_RND_MAX ; r++)
            for (trint = 0; trint < 3; trint++)
              {
                if (trint == 2)
                  inexact = mpfr_rint (y, x, (mpfr_rnd_t) r);
                else if (r == MPFR_RNDN)
                  inexact = mpfr_round (y, x);
                else if (r == MPFR_RNDZ)
                  inexact = (trint ? mpfr_trunc (y, x) :
                             mpfr_rint_trunc (y, x, MPFR_RNDZ));
                else if (r == MPFR_RNDU)
                  inexact = (trint ? mpfr_ceil (y, x) :
                             mpfr_rint_ceil (y, x, MPFR_RNDU));
                else /* r = MPFR_RNDD */
                  inexact = (trint ? mpfr_floor (y, x) :
                             mpfr_rint_floor (y, x, MPFR_RNDD));
                if (mpfr_sub (t, y, x, MPFR_RNDN))
                  err ("subtraction 1 should be exact",
                       s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                sign_t = mpfr_cmp_ui (t, 0);
                if (trint != 0 &&
                    (((inexact == 0) && (sign_t != 0)) ||
                     ((inexact < 0) && (sign_t >= 0)) ||
                     ((inexact > 0) && (sign_t <= 0))))
                  err ("wrong inexact flag", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                if (inexact == 0)
                  continue; /* end of the test for exact results */

                if (((r == MPFR_RNDD || (r == MPFR_RNDZ && MPFR_SIGN (x) > 0))
                     && inexact > 0) ||
                    ((r == MPFR_RNDU || (r == MPFR_RNDZ && MPFR_SIGN (x) < 0))
                     && inexact < 0))
                  err ("wrong rounding direction",
                       s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                if (inexact < 0)
                  {
                    mpfr_add_ui (v, y, 1, MPFR_RNDU);
                    if (mpfr_cmp (v, x) <= 0)
                      err ("representable integer between x and its "
                           "rounded value", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                  }
                else
                  {
                    mpfr_sub_ui (v, y, 1, MPFR_RNDD);
                    if (mpfr_cmp (v, x) >= 0)
                      err ("representable integer between x and its "
                           "rounded value", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                  }
                if (r == MPFR_RNDN)
                  {
                    int cmp;
                    if (mpfr_sub (u, v, x, MPFR_RNDN))
                      err ("subtraction 2 should be exact",
                           s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                    cmp = mpfr_cmp_abs (t, u);
                    if (cmp > 0)
                      err ("faithful rounding, but not the nearest integer",
                           s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                    if (cmp < 0)
                      continue;
                    /* |t| = |u|: x is the middle of two consecutive
                       representable integers. */
                    if (trint == 2)
                      {
                        /* halfway case for mpfr_rint in MPFR_RNDN rounding
                           mode: round to an even integer or significand. */
                        mpfr_div_2ui (y, y, 1, MPFR_RNDZ);
                        if (!mpfr_integer_p (y))
                          err ("halfway case for mpfr_rint, result isn't an"
                               " even integer", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                        /* If floor(x) and ceil(x) aren't both representable
                           integers, the significand must be even. */
                        mpfr_sub (v, v, y, MPFR_RNDN);
                        mpfr_abs (v, v, MPFR_RNDN);
                        if (mpfr_cmp_ui (v, 1) != 0)
                          {
                            mpfr_div_2si (y, y, MPFR_EXP (y) - MPFR_PREC (y)
                                          + 1, MPFR_RNDN);
                            if (!mpfr_integer_p (y))
                              err ("halfway case for mpfr_rint, significand isn't"
                                   " even", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                          }
                      }
                    else
                      { /* halfway case for mpfr_round: x must have been
                           rounded away from zero. */
                        if ((MPFR_SIGN (x) > 0 && inexact < 0) ||
                            (MPFR_SIGN (x) < 0 && inexact > 0))
                          err ("halfway case for mpfr_round, bad rounding"
                               " direction", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
                      }
                  }
              }
        }
    }
  mpfr_clear (x);
  mpfr_clear (y);
  mpz_clear (z);
  mpfr_clear (t);
  mpfr_clear (u);
  mpfr_clear (v);

  special ();
  coverage_03032011 ();

#if __MPFR_STDC (199901L)
  if (argc > 1 && strcmp (argv[1], "-s") == 0)
    test_against_libc ();
#endif

  tests_end_mpfr ();
  return 0;
}
Ejemplo n.º 17
0
MpfrFloat MpfrFloat::floor(const MpfrFloat& value)
{
    MpfrFloat retval(MpfrFloat::kNoInitialization);
    mpfr_floor(retval.mData->mFloat, value.mData->mFloat);
    return retval;
}